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nirvana33 [79]
3 years ago
9

Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

We can see that

Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

  • The slope method: If the points are on same line the slopes of two pairs of points will be same
  • Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

m=\frac{y_2-y_1}{x_2-x_1}

Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}

Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}

Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}

We can see that

Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

  • brainly.com/question/6436086
  • brainly.com/question/12954015

#LearnwithBrainly

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PLEASE HELP!!
Stolb23 [73]

Answer:

27 quarters and 37 nickels

Step-by-step explanation:

Nickels are 5¢

Quarters are 25¢

$8.60 is 172 nickels (860/5)

$8.60 is 34.4 quarters (860/25)

So then let's split it half-and-half.

425 and 435

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435 would become 87 nickels.

This is still too much.

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7 0
2 years ago
Which of the expressions below is equal to 10x+30? Select all that apply.
posledela
10 (x + 3) is the answer i believe
6 0
2 years ago
Given the line below.
Yanka [14]

We have to write the equation of the line, in point-slope form. Given an identified point (x1, y1) as the point (-2, 2). So that means x1=-2 and y1=2

Value of slope "m" is not given so i will keep using "m" for the slope. In case value of slope m is given in the problem then you can plug that number in place of m.

Point slope formula is given by:

y-y_1=m\left(x-x_1\right)

plug the given values into above formula :


y-\left(2\right)=m\left(x-\left(-2\right)\right)

y-2=m\left(x+2\right)

so the required answer in point slope form is y-2=m\left(x+2\right)

8 0
3 years ago
I will mark you brainiest if you can answer this
Svet_ta [14]

The answer should be B bc the point is at 1 and it rises 2 and runs 3 to the left so it’s negative
4 0
3 years ago
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Scrat [10]

Answer:

Step-by-step explanation:

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